Highest Common Factor of 8147, 7191 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8147, 7191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8147, 7191 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 8147, 7191 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 8147, 7191 is 1.

HCF(8147, 7191) = 1

HCF of 8147, 7191 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 8147, 7191 is 1.

Highest Common Factor of 8147,7191 using Euclid's algorithm

Highest Common Factor of 8147,7191 is 1

Step 1: Since 8147 > 7191, we apply the division lemma to 8147 and 7191, to get

8147 = 7191 x 1 + 956

Step 2: Since the reminder 7191 ≠ 0, we apply division lemma to 956 and 7191, to get

7191 = 956 x 7 + 499

Step 3: We consider the new divisor 956 and the new remainder 499, and apply the division lemma to get

956 = 499 x 1 + 457

We consider the new divisor 499 and the new remainder 457,and apply the division lemma to get

499 = 457 x 1 + 42

We consider the new divisor 457 and the new remainder 42,and apply the division lemma to get

457 = 42 x 10 + 37

We consider the new divisor 42 and the new remainder 37,and apply the division lemma to get

42 = 37 x 1 + 5

We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get

37 = 5 x 7 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8147 and 7191 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(42,37) = HCF(457,42) = HCF(499,457) = HCF(956,499) = HCF(7191,956) = HCF(8147,7191) .

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Frequently Asked Questions on HCF of 8147, 7191 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 8147, 7191?

Answer: HCF of 8147, 7191 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8147, 7191 using Euclid's Algorithm?

Answer: For arbitrary numbers 8147, 7191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.